# Calculus II For Dummies

John Wiley & Sons, Jan 24, 2012 - Mathematics - 368 pages
An easy-to-understand primer on advanced calculus topics

Confounded by curves? Perplexed by polynomials? This plain-English guide to Calculus II will set you straight! Calculus II For Dummies offers expert instruction, advice, and tips to help students get a handle on intermediate calculus topics. Best of all, it includes example problems and explanations that enhance your understanding of this complex subject.

• Calculus II 101 — get an easy-to-follow introduction to the definite integral, the Reimann sum equation, and the indefinite integral

• Strike that, reverse it — discover everything you need to know about reversing the differential process to solve a limited set of indefinite integrals using anti-differentiation

• Go big with trig — find out how to use a whole host of trig functions to integrate powers of sines and cosines, and then tangents and secants, and finally cotangents and cosecants

• Conquer the Mount Everest of Math — move on to intermediate integration, infinite series, and the math you can expect in higher-level Calculus courses

Open the book and find:

• A need-to-know refresher on Pre-Calculus and Calculus I

• The "Aha!" insights in Calculus II

• Useful test-taking tips

• The 4-1-1 on area problems

• Plain-English explanations of integrals

• Everything you need to know about the infinite series

• Help on solving area problems

• How to use calculus to solve 3-D problems

Learn to:

• Make sense of advanced calculus topics

• Get ahead of the curve with easy-to-understand explanations of complicated subject matter

• Score high in your Calculus II class

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#### LibraryThing Review

User Review  - plaws595 - LibraryThing

I used this book to refresh my understanding of integrals and calculus two in general. I'm not sure how effective it would be at teaching you the subject from scratch, but it is an decent resource if you forgot a few things. Read full review

### Contents

 Introduction 1 Introduction to Integration 4 Introduction to Integration 9 An Aerial View of the Area Problem 11 Dispelling Ghosts from the Past A Review of PreCalculus 37 From Definite to Indefinite The Indefinite Integral 73 Indefinite Integrals 103 Making a Fast Switch Variable Substitution 117
 Intermediate Integration Topics 195 Pump Up the Volume Using Calculus to Solve 3D Problems 219 Infinite Series 241 Where Is This Going? Testing 261 Where Is This Going? Testing for Convergence and Divergence 261 Chapter 13 Dressing Up Functions with the Taylor Series 283 Advanced Topics 307 Multivariable Calculus 309 Whats So Different about Differential Equations? 329

 Recognizing When to Use Substitution 123 Integration by Parts 135 Trig Substitution Knowing All the TriAngles 151 When All Else Fails Integration with Partial Fractions 173
 The Part of Tens 343 Ten Tips to Take to the Test 351 Copyright

### About the author (2012)

Mark Zegarelli, a math tutor and writer with 25 years of professional experience, delights in making technical information crystal clear — and fun — for average readers. He is the author of Logic For Dummies and Basic Math & Pre-Algebra For Dummies.